If a triangle with verticals (4,3), (8,3), and (7,5) is translated to the right four units and down two units. What are the verticals of the translated figure?

Answer 1

To translate a geometric figure, we shift each point of the figure a certain number of units in a certain direction.

Given that the translation is moving the figure to the right four units and down two units, we can apply these shifts to each of the points in the original triangle.

For the first point (4,3):
- Moving it four units to the right gives us the x-coordinate of 4 + 4 = 8.
- Moving it two units down gives us the y-coordinate of 3 - 2 = 1.
Therefore, the translated point is (8,1).

For the second point (8,3):
- Moving it four units to the right gives us the x-coordinate of 8 + 4 = 12.
- Moving it two units down gives us the y-coordinate of 3 - 2 = 1.
Therefore, the translated point is (12,1).

For the third point (7,5):
- Moving it four units to the right gives us the x-coordinate of 7 + 4 = 11.
- Moving it two units down gives us the y-coordinate of 5 - 2 = 3.
Therefore, the translated point is (11,3).

In conclusion, the vertices of the translated triangle are (8,1), (12,1), and (11,3).